133768512 has 168 divisors, whose sum is σ = 427939200. Its totient is φ = 39702528.

The previous prime is 133768501. The next prime is 133768519. The reversal of 133768512 is 215867331.

133768512 is a `hidden beast` number, since 133 + 7 + 6 + 8 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133768519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185689 + ... + 186407.

Almost surely, 2^133768512 is an apocalyptic number.

133768512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213969600).

133768512 is an abundant number, since it is smaller than the sum of its proper divisors (294170688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133768512 is a wasteful number, since it uses less digits than its factorization.

133768512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 133768512 is about 11565.8338220813. The cubic root of 133768512 is about 511.4281538680.

The spelling of 133768512 in words is "one hundred thirty-three million, seven hundred sixty-eight thousand, five hundred twelve".